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12311244211321 = 11731131374912017
BaseRepresentation
bin1011001100100110111101…
…0101101000010001111001
31121120221110202222020201201
42303021233111220101321
53103201412004230241
642103412453414201
72410313052113146
oct263115725502171
947527422866651
1012311244211321
113a17195449530
12146a00293a361
136b3c39c0c773
14307c202013cd
1516539c80c931
hexb326f568479

12311244211321 has 64 divisors (see below), whose sum is σ = 13870214205696. Its totient is φ = 10833680793600.

The previous prime is 12311244211313. The next prime is 12311244211339.

12311244211321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12311244211321 - 23 = 12311244211313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12311244211321.

It is not an unprimeable number, because it can be changed into a prime (12311244211351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6103739305 + ... + 6103741321.

It is an arithmetic number, because the mean of its divisors is an integer number (216722096964).

Almost surely, 212311244211321 is an apocalyptic number.

12311244211321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12311244211321 is a deficient number, since it is larger than the sum of its proper divisors (1558969994375).

12311244211321 is a wasteful number, since it uses less digits than its factorization.

12311244211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1231124 and 4211321, that added together give a palindrome (5442445).

The spelling of 12311244211321 in words is "twelve trillion, three hundred eleven billion, two hundred forty-four million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 11 73 113 137 491 803 1243 1507 2017 5401 8249 10001 15481 22187 35843 55483 67267 90739 110011 147241 170291 227921 276329 394273 610313 739937 990347 1130113 1619651 2507131 3039619 4050259 4910491 7601171 10893817 12431243 16638233 20172017 31225177 44552849 54015401 72295331 83612881 111909211 135677539 183020563 221892187 343476947 554885483 795248641 1231001321 1492452929 2279437921 6103740313 8169372403 9904460347 15331561907 25073817131 89863096433 108949063817 168647180977 1119204019211 12311244211321